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Finding the Fourth Proportional to 501,071.32, 751,729.74 and 164,130.04

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Solution

The fourth proportional to 501,071.32, 751,729.74 and 164,130.04 is: 246,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,071.32 : 751,729.74 = 164,130.04 : x
  2. Step 2: Convert to fraction form
    501,071.32/751,729.74 = 164,130.04/x
  3. Step 3: Cross multiply
    501,071.32x = 751,729.74 × 164,130.04
  4. Step 4: Simplify right side
    501,071.32x = 123,381,432,295.39
  5. Step 5: Solve for x
    x = 123,381,432,295.39/501,071.32
  6. Step 6: Final answer
    x = 246,235.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.